This question is from trigonometry topic – trigonometric ratios on complementary angles
We have to prove that cos80°/sin10° + cos59°cosec31° = 2
RS Aggarwal, Class 10, chapter 12, question no 4(ii)
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LHS
cos80°/sin10° + cos59°cosec31°
=cos80°/sin(90°-80°) + cos59°cosec(90°-59°)
= 1+1
=2 = LHS